Finding the Third Proportional to 72,527 and 157,150

Step by Step Solution

1. Step 1: Write the proportion equation
   72,527 : 157,150 = 157,150 : x
2. Step 2: Convert to fraction form
   72,527/157,150 = 157,150/x
3. Step 3: Cross multiply
   72,527x = 157,150 × 157,150
4. Step 4: Simplify right side
   72,527x = 24,696,122,500
5. Step 5: Solve for x
   x = 24,696,122,500/72,527
6. Step 6: Final answer
   x = 340,509.36